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Ms.Powell is a famous motivational speaker. She travels across the country by jet and gives an average of seven presentations a week. She gives
her speeches in auditoriums that are always full and hold an average of 1000 people each. She charges $40 per person at each of these speeches.
Her average expenses for each presentation, including renting the auditorium, are about $18,000. The cost of meals, motels, jet travel, and support
nersonnel total $75.000 ner week_How many weeks will Ms Powell need to travel if she wants to earn $553 000 per vear?​

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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The approximate perimeter of the right triangle is 57.89 cm.

To find the perimeter of the right triangle, we need to know the lengths of the other two sides.

Let's use the Pythagorean theorem, which asserts that the hypotenuse (the longest side) of a right triangle has a square whose sum is equal to the squares of the other two sides.

In this case, we know the length of the hypotenuse is 24 cm and the height (one of the other sides) is 16 cm. Let's call the third side x.

So we have:

\(24^2 = 16^2 + x^2\)

Simplifying, we get:

\(576 = 256 + x^2\)

Subtracting 256 from both sides, we get:

\(320 = x^2\)

Taking the square root of both sides, we get:

x ≈ 17.89

So the approximate perimeter of the triangle is:

P = 24 + 16 + 17.89 ≈ 57.89 cm

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Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Answer: 87.96m

Step-by-step explanation:

Circumference of a circle = 2\(\pi\)\(r^{2}\) --> 2\(\pi\)14² = 87.96m

A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.

Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees counterclockwise. The rule is:

The coordinates of the vertices of the triangle are given to be:

Applying the rule, we have the transformed points to be:

Answer:

25π

Step-by-step explanation:

The formula for the area of a circle is \(\pi r^{2}\). In this case, \(r\) is 5, to the area will we \(25\pi\).

Answer:

91/4 as a fraction, 22.75 as a decimal

Step-by-step explanation:

(-51/4) - (-71/2)

=

(-51/4) + (71/2)

=

(-51/4) + (142/4)

=

(-51+142/4)

=91/4

Your answer is 91/4. The decimal version is 22.75. Hope this helps :)

9514 1404 393

Answer:

  A. irrational only

Step-by-step explanation:

A decimal fraction is not a natural number or integer, so choices C and D can be eliminated immediately.

The decimal has a predictable pattern, but that pattern guarantees it does not repeat. A non-repeating, not-terminating decimal is an irrational number.

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:

The final volume is 320 mL at pressure of 100 kPa.

Step-by-step explanation:

Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,

\(V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2\)

Let

\(V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa\)

We need to find \(V_2\). Using above equation, we get :

\(V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL\)

So, the final volume is 320 mL at pressure of 100 kPa.

Answer:

8

Step-by-step explanation:

3 times 4 is 12 and 2 times 4 is 8

He would have saved $87,221.02  after 1 year

He would have saved $268,335.90   after 3  years

What is an ordinary annuity?

An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=future value of an ordinary annuity

PMT=monthly payment invested every month

r=monthly interest rate=annual interest/12

N=number of months that monthly payments were

FV after 1 year:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in 1 year=12

FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*0.02528845698324970/0.00208333333333333

FV=$87,221.02

FV after 3  years:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in  3 years=36

FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333

FV=$268,335.90

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The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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Answer:

18

Step-by-step explanation:

The value that would have the most dots on a line plot is given as follows:

4.25.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.

A line plot is built from the dot plot, in which:

Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).

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Answer:

The circumference of the drive wheel is 10 feet * 3.14 = 31.4 feet.

The circumference of the vat is 18 feet * 3.14 = 56.52 feet.

The total length of belt needed to go around the drive wheel and the vat is 31.4 + 56.52 = 87.92 feet.

Answer:

3 zeros

Step-by-step explanation:

The given function is   4x^3-x^2-2x+1

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

Answer:

Step-by-step explanation:

4x3 − x2 − 2x + 1

I show one zero. X= - 0.78769256

Answer:

Y=3/4x+4

Step-by-step explanation:

Write in form the form of y=mx + c... Where your m slope is 3/4 and your c is your y intercept 4

\(\displaystyle\\Answer: y=\frac{3}{4} x+4\)

Step-by-step explanation:

\(\displaystyle\\\\\\Slope=m =\frac{3}{4} \ \ \ \ (0,4)\\\\Hence,\\\\y=mx+b\\\\x=0\ \ \ \ \ \ y=4\\\\Thus,\\\\4=\frac{3}{4} (0)+b\\\\4=0+b\\\\4=b\\\\So\ it\\\\y=\frac{3}{4} x+4\)

The relationship between y and t can be modeled by an exponential function of the form:

y = a x e^(-rt)

An exponential function is a mathematical function which we write as a

f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182

The relationship between y and t can be modeled by an exponential function of the form:

y = a x e^(-rt)

where a is the initial area of the forest (1500 km²), r is the rate of decrease (6.25%), and t is the number of years since 2000.

To find the value of r, we can convert 6.25% to a decimal:

r = 0.0625

Now we can plug in the values for a and r into our exponential function:

y = 1500 x e^(-0.0625t)

This exponential function shows the relationship between the area of the forest and the number of years since 2000.

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Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.

Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.

The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.

The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.

In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.

Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.

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Answer:

2% sales tax rate

Step-by-step explanation:

Answer: 54:4

Step-by-step explanation:

You have the following rotation:

The result of the previous rotation, by taking into account the rules for the exponents for the transformations is:

The rotation R⁰ means a rotation of 0 degrees of a specific point.

Then, the given rotation appiled to point B does not move the point B from its place. The transformation makes B to go to B

answer: B

Answer:

4.25 hours

Step-by-step explanation:

38.25/9

Answer:

C. =

Step-by-step explanation:

This is because 18% is 18/100. You could find the answer one of two ways. Divide by two or multiply by 2.

Answer: common denominator between 2 and 14 is 28 add 14 twice and you’ll get an even number now find out how many times you multiplied by two

Step-by-step explanation:

Answer: a common denominator for 1/2 would be 4 and for 1/14 it would be 28

Step-by-step explanation: to find common denominator you can either multiply or divide, but in this situation since the numerator is one you can only multiply. i chose to multiply them by 2.

1 x 2 = 2 = 2/4

2 x 2 = 4

1 x 2 = 2 = 2/28

14 x 2 = 28

Answer:

-510 degrees and -210 degrees :)

Step-by-step explanation:

An angle is a figure created by two rays. The measure of the angle can be written as 150° or -210°.

An angle is a figure created by two rays, known as the sides of the angle, that have a common terminus, known as the vertex of the angle. Angles created by two rays lie in the plane containing the beams.

The measure of the angle measured from the positive x-axis in an anticlockwise direction will be,

\(\theta = 180^o-30^o = 150^o\\\\\)

The measure of the angle measured from the positive x-axis in clockwise direction will be,

\(\theta = 180^o+30^o = -210^o\)

Hence, the measure of the angle can be written as 150° or -210°.

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Answer:

57.1428571429 miles per hour Round off the answer to what your teacher asked.

Step-by-step explanation:

Since we want final answer in miles per hour, lets change the 30 mins to 0.5 hours

Phase 1 =25miles per 0.5 hours

Phase 2 = (200miles-25miles) per 3 hours

Speed = distance/time

Average speed = total distance/ time

Total distance is 200miles because both phases say from new york that means it travels 25 miles away from new york then 3 hours later it is 200 miles away from new york

total time =3 hours+0.5 hours = 3.5 hours

Average speed = 200/3.5

Average speed = 57.1428571429 miles per hour

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We want to get the average speed between the 30 minute and 3-hour time frame.

The average speed in that time frame is 70 miles per hour.

We will define average speed as the quotient between the distance travelled and the time it takes to travel that distance.

We know that at 30 minutes, the car is 25 miles away from NY

At 3 hours, the car is 200 miles away from NY.

So the distance travelled in that time frame is:

200 miles - 25 miles = 175 miles.

And the time between 30 minutes and 3 hours is just:

3 h - 0.5h = 2.5 h

So the average speed is:

S = (175 mi)/(2.5 h) = 70 mi/h

The average speed is 70 miles per hour.

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